The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with pdf f(x) k[1 (x 3)2 ] 2 x 4 0 otherwise a. Sketch the graph of f(x). b. Find the value of k. c. What is the probability that the actual tracking weight is greater than the prescribed weight? d. What is the probability that the actual weight is within .25 g of the prescribed weight? e. What is the probability that the actual weight differs from the prescribed weight by more than .5 g?

Section 2: Statistics in Society Stat 2220, Espey ➢ Statistics are everywhere, especially about social problems. How trustworthy are they ➢ Who created the statistic and why: Everyone has an agenda ○ Do they want the numbers to look high or low ➢ How was the statistic created: The research design could affect the results ○ Guessing, Defining, Measuring, and Sampling all affect this ➢ Guessing: The statistic could be an obvious guess or could have a guessed component ○ Dark Figure: The number of something that goes unreported (crime, stalking, rape, etc) ○ One can assume that guessing was used if there is no information about the research used to find the statistic